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Finding the Fourth Proportional to 37.85, 52.18 and 24.74

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Solution

The fourth proportional to 37.85, 52.18 and 24.74 is: 34.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.85 : 52.18 = 24.74 : x
  2. Step 2: Convert to fraction form
    37.85/52.18 = 24.74/x
  3. Step 3: Cross multiply
    37.85x = 52.18 × 24.74
  4. Step 4: Simplify right side
    37.85x = 1,290.55
  5. Step 5: Solve for x
    x = 1,290.55/37.85
  6. Step 6: Final answer
    x = 34.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.